Curriculum / Math / 4th Grade / Unit 6: Decimal Fractions / Lesson 9
Math
Unit 6
4th Grade
Lesson 9 of 13
Jump To
Lesson Notes
There was an error generating your document. Please refresh the page and try again.
Generating your document. This may take a few seconds.
Are you sure you want to delete this note? This action cannot be undone.
Add tenths with hundredths written as decimal fractions.
The core standards covered in this lesson
4.NF.C.5 — Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
The foundational standards covered in this lesson
4.NF.A.1 — Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
4.NF.B.3 — Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
A gardener plants $${{3\over10}}$$ of their garden with tomatoes. They also plant $${{4\over100}}$$ of their garden with chives. How much of their garden is planted with either tomatoes or chives? Write your answer as a fraction and decimal.
Upgrade to Fishtank Plus to view Sample Response.
Grade 4 Mathematics > Module 6 > Topic D > Lesson 12 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Add. Show or explain your work. Write your answer as a decimal.
a. $${{6\over100} + {8\over10}}$$
b. $${{2\over10} + {14\over100}}$$
c. $$\frac{9}{10}+\frac{10}{100}$$
d. $$\frac{9}{10}+\frac{23}{100}$$
e. $$1\frac{4}{10}+2\frac{72}{100}$$
Each equation below is missing a fraction in tenths or hundredths. Find the fraction that makes each equation true.
a. $$\frac{20}{100}$$ + ____ = $$\frac{28}{100}$$
b. $$\frac{10}{100}$$ + ____ = $$\frac{30}{100}$$
c. ____ + $$\frac{2}{10}$$ = $$\frac{80}{100}$$
d. $$\frac{9}{100}$$ + ____ = $$\frac{8}{10}$$
e. ____ + $$\frac{72}{100}$$ = $$\frac{102}{100}$$
f. $$\frac{15}{100}$$ + ____ = $$1\frac{55}{100}$$
Illustrative Math Grade 4 Unit 3 Lesson 17 Activity 2, accessed on July 15, 2023, 8:48 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Using the digits 0 to 9, no more than one time each, to fill in the boxes to create a sum of $$1\frac{1}{10}$$.
Decomposing Tenths and Hundredths by is made available on Open Middle under the CC BY-NC-SA 4.0 license. Accessed May 30, 2018, 4:54 p.m..
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
a. $${{2\over10} + {7\over100}}$$
b. $${{63\over100} + {5\over10}}$$
The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Next
Add tenths with hundredths written as decimals.
Topic A: Understanding Tenths
Represent decimals to tenths less than or equal to one with area models. Write a decimal value in fraction, decimal, and unit form.
Standards
4.NF.C.6
Represent decimals to tenths greater than one with pictorial base ten blocks. Write a decimal value in fraction, decimal, unit, and fraction and decimal expanded form.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Understanding Tenths and Hundredths
Represent decimals to hundredths less than one, understanding the equivalence of some number of tenths and ten times as many hundredths. Write a decimal value in fraction, decimal, and unit form.
4.NF.C.54.NF.C.6
Represent decimals to hundredths more than one. Write a decimal value in fraction, decimal, unit, and decimal and fraction expanded form for some number to hundredths.
Regroup decimal numbers with more than 9 tenths or 9 hundredths into simplest unit form and vice versa.
Topic C: Decimal Comparison
Locate decimals on a number line and explain their placement.
Compare two decimals, recording the result of a comparison with the symbol >, =, or <, and justify the conclusion.
4.NF.C.7
Compare two or more decimals written in various forms.
Topic D: Decimal Addition
4.NF.C.5
Solve word problems involving the addition of decimals and decimal fractions.
Topic E: Money as a Decimal Amount
Find the value of some combination of dollar bills and coins.
4.MD.A.2
Solve word problems involving money.
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
We've got you covered with rigorous, relevant, and adaptable math lesson plans for free